125 is an odd composite number. It is composed of a single prime number multiplied by itself two times.

What does the number 125 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 4 divisors.

125 is an odd composite number. It is composed of one distinct prime number multiplied by itself two times. It has a total of four divisors.

Prime factorization of 125:


(5 × 5 × 5)

See below for interesting mathematical facts about the number 125 from the Numbermatics database.

Names of 125

  • Cardinal: 125 can be written as One hundred twenty-five.

Scientific notation

  • Scientific notation: 1.25 × 102

Factors of 125

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 5

Divisors of 125

  • Number of divisors d(n): 4
  • Complete list of divisors:
    1 5 25 125
  • Sum of all divisors σ(n): 156
  • Sum of proper divisors (its aliquot sum) s(n): 31
  • 125 is a deficient number, because the sum of its proper divisors (31) is less than itself. Its deficiency is 94

Bases of 125

  • Binary: 11111012
  • Hexadecimal: 0x7D
  • Base-36: 3H

Squares and roots of 125

  • 125 squared (1252) is 15625
  • 125 cubed (1253) is 1953125
  • The square root of 125 is 11.1803398875
  • 125 is a perfect cube number. Its cube root is 5

Scales and comparisons

How big is 125?
  • 125 seconds is equal to 2 minutes, 5 seconds.
  • To count from 1 to 125 would take you about two seconds.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 125 cubic inches would be around 0.4 feet tall.

Recreational maths with 125

  • 125 backwards is 521
  • The number of decimal digits it has is: 3
  • The sum of 125's digits is 8
  • More coming soon!

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Numbermatics. (2021). Number 125 - Facts about the integer. Retrieved 19 October 2021, from https://numbermatics.com/n/125/

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The information we have on file for 125 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 125, math, Factors of 125, curriculum, school, college, exams, university, Prime factorization of 125, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-five.

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